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Finding the Fourth Proportional to 5,897.32, 8,847.24 and 5,309.20

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Solution

The fourth proportional to 5,897.32, 8,847.24 and 5,309.20 is: 7,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.32 : 8,847.24 = 5,309.20 : x
  2. Step 2: Convert to fraction form
    5,897.32/8,847.24 = 5,309.20/x
  3. Step 3: Cross multiply
    5,897.32x = 8,847.24 × 5,309.20
  4. Step 4: Simplify right side
    5,897.32x = 46,971,766.61
  5. Step 5: Solve for x
    x = 46,971,766.61/5,897.32
  6. Step 6: Final answer
    x = 7,964.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.